Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	61×	body	640	valid
8.0ms	50×	body	320	valid
8.0ms	129×	body	80	valid
2.0ms	16×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	16
2	16
1	13
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
3.1b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

9.0ms	(/ 1 (- x 1))
19.0ms	(/ 1 (+ x 1))
53.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1 (- x 1))
24.0ms	(/ 1 (+ x 1))
64.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify12.6s

Counts

137 → 137

Iterations

Iter	Nodes
3	2463
2	936
1	390
0	185

prune940.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ x -2) x) (+ -1 (* x x)))
2.7b	(- (+ x -2) x)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`times-frac`
13×	`add-cube-cbrt`
10×	`distribute-lft-out--`
7×	`add-log-exp`
6×	`associate-/l*`
5×	`distribute-lft-out` `difference-of-squares`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r*`
2×	`pow1` `flip3--` `diff-log` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `div-exp` `associate--l+` `flip-+` `div-inv`

Counts

2 → 63

Calls

2 calls:

59.0ms	(/ (- (+ x -2) x) (+ -1 (* x x)))
23.0ms	(- (+ x -2) x)

series66.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- (+ x -2) x) (+ -1 (* x x)))
11.0ms	(- (+ x -2) x)

simplify2.0s

Counts

69 → 69

Iterations

Iter	Nodes
3	3601
2	916
1	295
0	117

prune458.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ -2 (+ -1 (* x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

6.0ms

(/ -2 (+ -1 (* x x)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ -2 (+ -1 (* x x)))

simplify4.8s

Counts

33 → 33

Iterations

Iter	Nodes
4	6084
3	1518
2	497
1	178
0	81

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ -2 (cbrt (+ -1 (* x x)))) (cbrt (+ -1 (* x x))))
15.7b	(cbrt (+ -1 (* x x)))
15.7b	(cbrt (+ -1 (* x x)))
15.7b	(cbrt (+ -1 (* x x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac`
148×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
147×	`cbrt-prod`
24×	`associate-/l*`
22×	`cbrt-div`
16×	`associate-/r/`
11×	`flip3-+` `flip-+`
9×	`add-exp-log`
8×	`div-inv`
6×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 234

Calls

4 calls:

19.0ms	(/ (/ -2 (cbrt (+ -1 (* x x)))) (cbrt (+ -1 (* x x))))
2.0ms	(cbrt (+ -1 (* x x)))
2.0ms	(cbrt (+ -1 (* x x)))
3.0ms	(cbrt (+ -1 (* x x)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (/ -2 (cbrt (+ -1 (* x x)))) (cbrt (+ -1 (* x x))))
138.0ms	(cbrt (+ -1 (* x x)))
124.0ms	(cbrt (+ -1 (* x x)))
148.0ms	(cbrt (+ -1 (* x x)))

simplify3.7s

Counts

246 → 246

Iterations

Iter	Nodes
3	6612
2	1796
1	812
0	360

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

601.0ms	1948×	body	640	valid
367.0ms	4232×	body	80	valid
317.0ms	1212×	body	320	valid
82.0ms	608×	body	160	valid